We look at the division of 4634984 by 337 
We want to divide 4634984 by 337.

Advancing to step 1:
4 divided by 337 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 337

On to step 2:
If we divide 46 by 337, we get 0 and a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 46 leaves us with 46.
Bring next digit (3) of the dividend behind the 46 and repeat the process: 463 / 337

Moving on to step 3:
The number 337 fits into 463 1 times, leaving a remainder of 126.
The next digit of our result is 1. 
Result so far: 1.0
If we take 337 away from 463, we end up with 126.
Grab the next digit (4) from the dividend, add it to 126, then carry on: 1264 / 337

Going ahead to step 4:
337 can be fit into 1264 3 times, resulting in a remainder of 253.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 1011 from 1264 to get 253.
Fetch the next digit (9) from the dividend, attach it to 253 and continue: 2539 / 337

Let's proceed to step 5:
337 goes into 2539 7 times with a remainder of 180.
Record the quotient 7 as the next digit in the result. 
Result so far: 137.0
Deduct 2359 from 2539 and we're left with 180.
Bring next digit (8) of the dividend behind the 180 and repeat the process: 1808 / 337

Step 6:
337 can be fit into 1808 5 times, resulting in a remainder of 123.
The number 5 becomes the next digit in our result. 
Result so far: 1375.0
If we subtract 1685 from 1808, we get 123.
Append the next digit (4) from the dividend to 123 and continue with: 1234 / 337

On to step 7:
337 can be fit into 1234 3 times, resulting in a remainder of 223.
Use 3 as the next digit of our solution. 
Result so far: 13753.0
Subtracting 1011 from 1234 leaves us with 223.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2230, and continue the process.

On to step 8:
The number 337 fits into 2230 6 times, leaving a remainder of 208.
Record the quotient 6 as the next digit in the result. 
Result so far: 13753.6
Subtracting 2022 from 2230 leaves us with 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Let's proceed to step 9:
337 can be fit into 2080 6 times, resulting in a remainder of 58.
Write down 6 as next digit of the result. 
Result so far: 13753.66
The remainder is 58 after subtracting 2022 from 2080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The quotient of the division is 13753.66, and the remainder is 0.058.